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filimonovaiuli
@filimonovaiuli
June 2022
1
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Помогите вычислить производную
1) y=x корень из x -9x-2
2)y=-2/3x корень из x +12x-500
3)y=x^2+25/x
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Answers & Comments
nKrynka
Решение
1) y = x
√
x - 9x - 2
y` = (x
³/² - 9x - 2)` = (3/2)x³/²⁻¹ - 9 = (3√x)/2 - 9
2) y = - 2/3x
√
x + 12x - 500
y` = (-2/3x
³/² + 12x - 500)` = (-2/3)*(3/2)x³/²⁻¹ + 12 = - √x + 12
3) y = x
² + 25/x
y` = (x
² + 25/x)` = 2x - 25/x
²
2 votes
Thanks 1
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Answers & Comments
1) y = x√x - 9x - 2
y` = (x³/² - 9x - 2)` = (3/2)x³/²⁻¹ - 9 = (3√x)/2 - 9
2) y = - 2/3x√ x + 12x - 500
y` = (-2/3x³/² + 12x - 500)` = (-2/3)*(3/2)x³/²⁻¹ + 12 = - √x + 12
3) y = x² + 25/x
y` = (x² + 25/x)` = 2x - 25/x²